jrrodriguez0400
jrrodriguez0400 jrrodriguez0400
  • 03-08-2016
  • Mathematics
contestada

In right triangle ABC, ∠A and ∠B are complementary angles and sin A = 89. What is cos B?

Respuesta :

Аноним Аноним
  • 03-08-2016
8√17/17
 8/9
 √17/9
 √17/8
Answer Link
jbiain jbiain
  • 03-04-2020

Answer:

cos B = 0.89

Step-by-step explanation:

If ∠A and ∠B are complementary then: ∠A + ∠B = 90°

Given that sin A = 8/9 then A can be computed with the inverse of sine as follows:

∠A = arcsin(8/9) = 62.7°

Then:

62.7° + ∠B = 90°

∠B = 90° - 62.7°

∠B = 27.3°

Finally,

cos 27.3° = 0.89

Answer Link

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